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Two sharp inequalities for operators in a Hilbert space

In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N. Ainulloev) via the modulus of continuity or the modulus of smoothness...

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Bibliografische gegevens
Hoofdauteur: N.O. Kriachko
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Oles Honchar Dnipro National University 2022-07-01
Reeks:Researches in Mathematics
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Online toegang:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/387/387
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